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Question

Find the lengths of the other 3 sides of a parallelogram, whose perimeter is 72 inches, and whose one side measures 12 inches. ( All lengths in inches )

A
12,12,36
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B
12,18,18
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C
12,24,24
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D
12,30,30
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E
Cannot be determines from the given information
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Solution

The correct option is C 12,24,24
We know that opposite sides of a parallelogram are equal in length.
Hence if one side is 12 inches in length, then the side opposite to it will also be 12 inches in length.
Now the other two sides will also be equal in length.
Let the unknown side be of length x.
Hence, 2(12)+2x=72
24+2x=72
2x=48
x=24
Thus the length of sides of the parallelogram are 12,24,24.

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